Finding the Third Proportional to 42,547.50 and 90,474.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,547.50 : 90,474.75 = 90,474.75 : x
2. Step 2: Convert to fraction form
   42,547.50/90,474.75 = 90,474.75/x
3. Step 3: Cross multiply
   42,547.50x = 90,474.75 × 90,474.75
4. Step 4: Simplify right side
   42,547.50x = 8,185,680,387.56
5. Step 5: Solve for x
   x = 8,185,680,387.56/42,547.50
6. Step 6: Final answer
   x = 192,389.22